Theorem dfom3 4593

Description: Alias for df-iom 4592. Use it instead of df-iom 4592 for naming consistency with set.mm. (Contributed by NM, 6-Aug-1994.)

Assertion

Ref	Expression
dfom3	|- om = |^| { x | ( (/) e. x /\ A. y e. x suc y e. x ) }

Distinct variable group:   x, y

Proof of Theorem dfom3

Step	Hyp	Ref	Expression
1		df-iom 4592	1 |- om = |^| { x | ( (/) e. x /\ A. y e. x suc y e. x ) }

Syntax hints:   /\ wa 104   = wceq 1353   e. wcel 2148   {cab 2163   A.wral 2455   (/)c0 3424   |^|cint 3846   suc csuc 4367   omcom 4591

This theorem depends on definitions:  df-iom 4592

This theorem is referenced by:  omex  4594  peano1  4595  peano2  4596  peano5  4599  bj-dfom  14770